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                [Ioi2013]Dreaming                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">Serpent(水蛇)生活的地方有N个水坑，编号为0，...，N - 1，有M条双向小路连接这些水坑。每两个水坑之间至多有一条路径（路径包含一条或多条小路）相互连接，有些水坑之间根本无法互通(即M &le; N-1 )。Serpent走过每条小路需要一个固定的天数，不同的小路需要的天数可能不同。Serpent的朋友袋鼠希望新修 N - M - 1条小路，让Serpent可以在任何两个水坑间游走。袋鼠可以在任意两个水坑之间修路，Serpent通过每条新路的时间都是L天。袋鼠希望找到一种修路方式使得修路之后Serpent在每两个水坑之间游走的最长时间最短。</span></p>
<p><span style="font-size: medium">举例说明</span></p>
<p><span style="font-size: medium"><img height="433" width="544" alt="" src="../file/3246_0.jpg" /></span></p>
<p><span style="font-size: medium">上图中有12个水坑8条小路(&nbsp;N = 12,&nbsp;M = 8)。假如L = 2&nbsp;,即Serpent通过任何一条新路都需要2天。那么，袋鼠可以修建3条新路： <br />
水坑1和水坑2之间；<br />
水坑1和水坑6之间；<br />
水坑4和水坑10之间。</span></p>
<p><span style="font-size: medium"><img height="402" width="574" alt="" src="../file/3246_1.jpg" /></span></p>
<p><span style="font-size: medium">上图显示了修路后的最终状态。从水坑0走到水坑11的时间最长，需要18天。这是 最佳结果，无论袋鼠如何选择修路方式，总会存在一些水坑对，Serpent需要18天 或者更长时间从其中一个走到另一个。<br />
&nbsp;</span></p>
<p></p></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium">N&nbsp;: 水坑的数目。<br />
M&nbsp;: 原本存在的小路的数目。<br />
L&nbsp;: Serpent通过新修的路经的时间。<br />
A, B 和&nbsp;T: 三个包含M个元素的数组，分别表示每条小路的两个端点和通过这条小路的时间。例如，第i条小路连接水坑&nbsp;A[i-1]和水坑B[i-1],通过这条小路的时间是T[i-1]天。<br />
&nbsp;<br />
&nbsp;</span></p></p><hr/><h3>输出格式</h3><p><p><br />
<font size="4">如上所述，表示游走于两个距离最远的水坑之间所需的时间。</font></p></p><hr/><h3>样例输入</h3><pre>12 8 2
0 8 4
8 2 2
2 7 4
5 11 3
5 1 7
1 3 1
1 9 5
10 6 3
</pre><hr/><h3>样例输出</h3><pre>18</pre><hr/><h3>提示</h3><p><p>&nbsp;<span style="font-family: arial, verdana, helvetica, sans-serif;">n &lt;= 500000</span></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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